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Finding the Third Proportional to 27,947 and 43,622

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Solution

The third proportional to 27,947 and 43,622 is: 68,088.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,947 : 43,622 = 43,622 : x
  2. Step 2: Convert to fraction form
    27,947/43,622 = 43,622/x
  3. Step 3: Cross multiply
    27,947x = 43,622 × 43,622
  4. Step 4: Simplify right side
    27,947x = 1,902,878,884
  5. Step 5: Solve for x
    x = 1,902,878,884/27,947
  6. Step 6: Final answer
    x = 68,088.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.